1 /// @file 2 /// Test assembly of mass and Poisson operator diagonal 3 /// \test Test assembly of mass and Poisson operator diagonal 4 #include "t535-operator.h" 5 6 #include <ceed.h> 7 #include <math.h> 8 #include <stdlib.h> 9 10 int main(int argc, char **argv) { 11 Ceed ceed; 12 CeedElemRestriction elem_restr_x, elem_restr_u, elem_restr_qd_mass_i, elem_restr_qd_diff_i; 13 CeedBasis basis_x, basis_u; 14 CeedQFunction qf_setup_mass, qf_setup_diff, qf_apply; 15 CeedOperator op_setup_mass, op_setup_diff, op_apply; 16 CeedVector q_data_mass, q_data_diff, X, A, U, V; 17 CeedInt num_elem = 6, P = 3, Q = 4, dim = 2; 18 CeedInt n_x = 3, n_y = 2; 19 CeedInt num_dofs = (n_x * 2 + 1) * (n_y * 2 + 1), num_qpts = num_elem * Q * Q; 20 CeedInt ind_x[num_elem * P * P]; 21 CeedScalar x[dim * num_dofs], assembled_true[num_dofs]; 22 CeedScalar *u; 23 const CeedScalar *a, *v; 24 25 CeedInit(argv[1], &ceed); 26 27 // DoF Coordinates 28 for (CeedInt i = 0; i < n_x * 2 + 1; i++) { 29 for (CeedInt j = 0; j < n_y * 2 + 1; j++) { 30 x[i + j * (n_x * 2 + 1) + 0 * num_dofs] = (CeedScalar)i / (2 * n_x); 31 x[i + j * (n_x * 2 + 1) + 1 * num_dofs] = (CeedScalar)j / (2 * n_y); 32 } 33 } 34 CeedVectorCreate(ceed, dim * num_dofs, &X); 35 CeedVectorSetArray(X, CEED_MEM_HOST, CEED_USE_POINTER, x); 36 37 // Qdata Vectors 38 CeedVectorCreate(ceed, num_qpts, &q_data_mass); 39 CeedVectorCreate(ceed, num_qpts * dim * (dim + 1) / 2, &q_data_diff); 40 41 // Element Setup 42 for (CeedInt i = 0; i < num_elem; i++) { 43 CeedInt col, row, offset; 44 col = i % n_x; 45 row = i / n_x; 46 offset = col * (P - 1) + row * (n_x * 2 + 1) * (P - 1); 47 for (CeedInt j = 0; j < P; j++) { 48 for (CeedInt k = 0; k < P; k++) ind_x[P * (P * i + k) + j] = offset + k * (n_x * 2 + 1) + j; 49 } 50 } 51 52 // Restrictions 53 CeedElemRestrictionCreate(ceed, num_elem, P * P, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restr_x); 54 55 CeedElemRestrictionCreate(ceed, num_elem, P * P, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restr_u); 56 CeedInt strides_qd_mass[3] = {1, Q * Q, Q * Q}; 57 CeedElemRestrictionCreateStrided(ceed, num_elem, Q * Q, 1, num_qpts, strides_qd_mass, &elem_restr_qd_mass_i); 58 59 CeedInt strides_qd_diff[3] = {1, Q * Q, Q * Q * dim * (dim + 1) / 2}; 60 CeedElemRestrictionCreateStrided(ceed, num_elem, Q * Q, dim * (dim + 1) / 2, dim * (dim + 1) / 2 * num_qpts, strides_qd_diff, 61 &elem_restr_qd_diff_i); 62 63 // Bases 64 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, P, Q, CEED_GAUSS, &basis_x); 65 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, P, Q, CEED_GAUSS, &basis_u); 66 67 // QFunction - setup mass 68 CeedQFunctionCreateInterior(ceed, 1, setup_mass, setup_mass_loc, &qf_setup_mass); 69 CeedQFunctionAddInput(qf_setup_mass, "dx", dim * dim, CEED_EVAL_GRAD); 70 CeedQFunctionAddInput(qf_setup_mass, "weight", 1, CEED_EVAL_WEIGHT); 71 CeedQFunctionAddOutput(qf_setup_mass, "qdata", 1, CEED_EVAL_NONE); 72 73 // Operator - setup mass 74 CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_mass); 75 CeedOperatorSetField(op_setup_mass, "dx", elem_restr_x, basis_x, CEED_VECTOR_ACTIVE); 76 CeedOperatorSetField(op_setup_mass, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 77 CeedOperatorSetField(op_setup_mass, "qdata", elem_restr_qd_mass_i, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 78 79 // QFunction - setup diff 80 CeedQFunctionCreateInterior(ceed, 1, setup_diff, setup_diff_loc, &qf_setup_diff); 81 CeedQFunctionAddInput(qf_setup_diff, "dx", dim * dim, CEED_EVAL_GRAD); 82 CeedQFunctionAddInput(qf_setup_diff, "weight", 1, CEED_EVAL_WEIGHT); 83 CeedQFunctionAddOutput(qf_setup_diff, "qdata", dim * (dim + 1) / 2, CEED_EVAL_NONE); 84 85 // Operator - setup diff 86 CeedOperatorCreate(ceed, qf_setup_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_diff); 87 CeedOperatorSetField(op_setup_diff, "dx", elem_restr_x, basis_x, CEED_VECTOR_ACTIVE); 88 CeedOperatorSetField(op_setup_diff, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 89 CeedOperatorSetField(op_setup_diff, "qdata", elem_restr_qd_diff_i, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 90 91 // Apply Setup Operators 92 CeedOperatorApply(op_setup_mass, X, q_data_mass, CEED_REQUEST_IMMEDIATE); 93 CeedOperatorApply(op_setup_diff, X, q_data_diff, CEED_REQUEST_IMMEDIATE); 94 95 // QFunction - apply 96 CeedQFunctionCreateInterior(ceed, 1, apply, apply_loc, &qf_apply); 97 CeedQFunctionAddInput(qf_apply, "du", dim, CEED_EVAL_GRAD); 98 CeedQFunctionAddInput(qf_apply, "mass qdata", 1, CEED_EVAL_NONE); 99 CeedQFunctionAddInput(qf_apply, "diff qdata", dim * (dim + 1) / 2, CEED_EVAL_NONE); 100 CeedQFunctionAddInput(qf_apply, "u", 1, CEED_EVAL_INTERP); 101 CeedQFunctionAddOutput(qf_apply, "v", 1, CEED_EVAL_INTERP); 102 CeedQFunctionAddOutput(qf_apply, "dv", dim, CEED_EVAL_GRAD); 103 104 // Operator - apply 105 CeedOperatorCreate(ceed, qf_apply, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_apply); 106 CeedOperatorSetField(op_apply, "du", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 107 CeedOperatorSetField(op_apply, "mass qdata", elem_restr_qd_mass_i, CEED_BASIS_COLLOCATED, q_data_mass); 108 CeedOperatorSetField(op_apply, "diff qdata", elem_restr_qd_diff_i, CEED_BASIS_COLLOCATED, q_data_diff); 109 CeedOperatorSetField(op_apply, "u", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 110 CeedOperatorSetField(op_apply, "v", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 111 CeedOperatorSetField(op_apply, "dv", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 112 113 // Assemble diagonal 114 CeedVectorCreate(ceed, num_dofs, &A); 115 CeedOperatorLinearAssembleDiagonal(op_apply, A, CEED_REQUEST_IMMEDIATE); 116 117 // Manually assemble diagonal 118 CeedVectorCreate(ceed, num_dofs, &U); 119 CeedVectorSetValue(U, 0.0); 120 CeedVectorCreate(ceed, num_dofs, &V); 121 for (int i = 0; i < num_dofs; i++) { 122 // Set input 123 CeedVectorGetArray(U, CEED_MEM_HOST, &u); 124 u[i] = 1.0; 125 if (i) u[i - 1] = 0.0; 126 CeedVectorRestoreArray(U, &u); 127 128 // Compute diag entry for DoF i 129 CeedOperatorApply(op_apply, U, V, CEED_REQUEST_IMMEDIATE); 130 131 // Retrieve entry 132 CeedVectorGetArrayRead(V, CEED_MEM_HOST, &v); 133 assembled_true[i] = v[i]; 134 CeedVectorRestoreArrayRead(V, &v); 135 } 136 137 // Check output 138 CeedVectorGetArrayRead(A, CEED_MEM_HOST, &a); 139 for (int i = 0; i < num_dofs; i++) { 140 if (fabs(a[i] - assembled_true[i]) > 100. * CEED_EPSILON) printf("[%" CeedInt_FMT "] Error in assembly: %f != %f\n", i, a[i], assembled_true[i]); 141 } 142 CeedVectorRestoreArrayRead(A, &a); 143 144 // Cleanup 145 CeedQFunctionDestroy(&qf_setup_mass); 146 CeedQFunctionDestroy(&qf_setup_diff); 147 CeedQFunctionDestroy(&qf_apply); 148 CeedOperatorDestroy(&op_setup_mass); 149 CeedOperatorDestroy(&op_setup_diff); 150 CeedOperatorDestroy(&op_apply); 151 CeedElemRestrictionDestroy(&elem_restr_u); 152 CeedElemRestrictionDestroy(&elem_restr_x); 153 CeedElemRestrictionDestroy(&elem_restr_qd_mass_i); 154 CeedElemRestrictionDestroy(&elem_restr_qd_diff_i); 155 CeedBasisDestroy(&basis_u); 156 CeedBasisDestroy(&basis_x); 157 CeedVectorDestroy(&X); 158 CeedVectorDestroy(&A); 159 CeedVectorDestroy(&q_data_mass); 160 CeedVectorDestroy(&q_data_diff); 161 CeedVectorDestroy(&U); 162 CeedVectorDestroy(&V); 163 CeedDestroy(&ceed); 164 return 0; 165 } 166